Answer: The length of the rectangle is 37.5 inches and the width is 12.5 inches
Step-by-step explanation: The dimensions of the rectangle is not given but we have clues given. The length is given as three times it’s width which means if the width is W, then the length would be given as 3W (three times the width). Also the perimeter is given as 100 inches and the formula for the perimeter is;
Perimeter = 2(L + W)
We can now insert the known values as follows;
100 = 2(3W + W)
100 = 2(4W)
100 = 8W
Divide both sides of the equation by 8
12.5 = W
Having calculated the width as 12.5 inches, the length now becomes
L = 3W
L = 3 x 12.5
L = 37.5
Hence the length is 37.5 inches and the width is 12.5 inches
Answer:
20x-10
Step-by-step explanation:
Cows have
legs and 3 toes on each leg, if we want to find the number of toes of ONE cow we have to multiply the legs by the toes giving the following:

But we have two cows so (1) we have to multiply it by 2 giving a total of:

By the other hand chickens have
legs and 7 toes on each leg, if we want to find the number of toes we have to multiply the legs by the toes giving the following:

To find the total amount of toes we have to add (2) and (3)

Answer: d = 0
Step-by-step explanation:
5d - 4 = 4 - d
+d +d
____________
6d - 4 = 4
-4 -4
__________
6d = 0
__ __
6 6
d = 0
Answer:
The proof is given below.
Step-by-step explanation:
Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.
In ΔACD and ΔBEC
AD=BC (∵Opposite sides of parallelogram are equal)
∠DAC=∠BCE (∵Alternate angles)
∠ADC=∠CBE (∵Alternate angles)
By ASA rule, ΔACD≅ΔBEC
By CPCT(Corresponding Parts of Congruent triangles)
AE=EC and DE=EB
Hence, AE is conruent to CE and BE is congruent to DE
Answer: A
Step-by-step explanation: all answer choices have the negative sign for the x-value